Geometric Analysis Seminar:Gauss-Bonnet inequality beyond the aspherical conjecture

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:朱锦天(北京大学)
:2023-03-07 10:10
:腾讯会议ID:859-772-689 (无密码)

报告人:朱锦天(北京大学)

时  间:202337日上午10:10-11:40

地  点:腾讯会议ID859-772-689 (无密码)

内容摘要:

In this talk, I'll make a discussion on recent progress in the research of scalar curvature. I'll review the backgrounds from Gauss-Bonnet formula to the aspherical conjecture, and then focus on the following Gauss-Bonnet inequality: if the universal covering of a closed manifold with nonnegative scalar curvature has ``homological dimension no greater than two'', then either it is flat or its Gauss-Bonnet quantity is no greater than $8\pi$.

人简介:

朱锦天,现为北京大学北京国际数学研究中心博士后。博士毕业于北京大学数学科学学院,导师为史宇光教授。在Comm. Math. Phys., Trans. Amer. Math. Soc., Math. Ann.等国际知名期刊发表文章7篇,荣获2022年钟家庆数学奖。

联系人:夏超